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3901860 = 2232553409
BaseRepresentation
bin1110111000100110100100
321100020100100
432320212210
51444324420
6215344100
745110454
oct16704644
97306310
103901860
112225586
121382030
13a67cc1
14737d64
15521190
hex3b89a4

3901860 has 72 divisors (see below), whose sum is σ = 12088440. Its totient is φ = 1018368.

The previous prime is 3901853. The next prime is 3901867. The reversal of 3901860 is 681093.

3901860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3901853) and next prime (3901867).

It can be written as a sum of positive squares in 4 ways, for example, as 1542564 + 2359296 = 1242^2 + 1536^2 .

It is a super-2 number, since 2×39018602 = 30449022919200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3901867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9336 + ... + 9744.

It is an arithmetic number, because the mean of its divisors is an integer number (167895).

Almost surely, 23901860 is an apocalyptic number.

3901860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3901860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6044220).

3901860 is an abundant number, since it is smaller than the sum of its proper divisors (8186580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3901860 is a wasteful number, since it uses less digits than its factorization.

3901860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3901860 is about 1975.3126334836. The cubic root of 3901860 is about 157.4311112186.

It can be divided in two parts, 3901 and 860, that added together give a square (4761 = 692).

The spelling of 3901860 in words is "three million, nine hundred one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 409 477 530 636 795 818 954 1060 1227 1590 1636 1908 2045 2385 2454 3180 3681 4090 4770 4908 6135 7362 8180 9540 12270 14724 18405 21677 24540 36810 43354 65031 73620 86708 108385 130062 195093 216770 260124 325155 390186 433540 650310 780372 975465 1300620 1950930 3901860